What a lovely hat

Homomorphic encryption has long been used to build voting schemes. Additively homomorphic encryption only allows simple count- ing functions. Lattice-based fully (or somewhat) homomorphic encryp- tion allows more general counting functions, but the required parameters quickly become impractical if used naively. It is safe to leak information during the counting function evaluation, as long as the information could be derived from the public result. To exploit this observation, we...

We develop a distributed service for generating correlated randomness (e.g. permutations) for multiple parties, where each party’s output is private but publicly verifiable. This service provides users with a low-cost way to play online poker in real-time, without a trusted party. Our service is backed by a committee of compute providers, who run a multi-party computation (MPC) protocol to produce an (identity-based) encrypted permutation of a deck of cards, in an offline phase well ahead...

Secure merge refers to the problem of merging two sorted lists. The problem appears in different settings where each list is held by one of two parties, or the lists are themselves shared among two or more parties. The output of a secure merge protocol is secret shared. Each variant of the problem offers many useful applications. The difficulty in designing secure merge protocols vis-a-vis insecure merge protocols (which work in linear time with a single pass over the lists) has to do...

Side channel attacks, and in particular timing attacks, are a fundamental obstacle to obtaining secure implementation of algorithms and cryptographic protocols, and have been widely researched for decades. While cryptographic definitions for the security of cryptographic systems have been well established for decades, none of these accepted definitions take into account the running time information leaked from executing the system. In this work, we give the foundation of new cryptographic...

We present a solution to the open problem of designing a linear-time, unbiased and timing attack-resistant shuffling algorithm for fixed-weight sampling. Although it can be implemented without timing leakages of secret data in any architecture, we illustrate with ARMv7-M and ARMv8-A implementations; for the latter, we take advantage of architectural features such as NEON and conditional instructions, which are representative of features available on architectures targeting similar systems,...

In this work we formalize the notion of a two-party permutation correlation $(A, B), (C, \pi)$ s.t. $\pi(A)=B+C$ for a random permutation $\pi$ of $n$ elements and vectors $A,B,C\in \mathbb{F}^n$. This correlation can be viewed as an abstraction and generalization of the Chase et al. (Asiacrypt 2020) share translation protocol. We give a systematization of knowledge for how such a permutation correlation can be derandomized to allow the parties to perform a wide range of oblivious...

Federated Learning (FL) accomplishes collaborative model training without the need to share local training data. However, existing FL aggregation approaches suffer from inefficiency, privacy vulnerabilities, and neglect of poisoning attacks, severely impacting the overall performance and reliability of model training. In order to address these challenges, we propose SuperFL, an efficient two-server aggregation scheme that is both privacy preserving and secure against poisoning attacks. The...

We consider how to design an anonymous data collection protocol that enforces compliance rules. Imagine that each client contributes multiple data items (e.g., votes, location crumbs, or secret shares of its input) to an anonymous network, which mixes all clients' data items so that the receiver cannot determine which data items belong to the same user. Now, each user must prove to an auditor that the set it contributed satisfies a compliance predicate, without identifying which items it...

Hiding countermeasures are the most widely utilized techniques for thwarting side-channel attacks, and their significance has been further emphasized with the advent of Post Quantum Cryptography (PQC) algorithms, owing to the extensive use of vector operations. Commonly, the Fisher-Yates algorithm is adopted in hiding countermeasures with permuted operation for its security and efficiency in implementation, yet the inherently sequential nature of the algorithm imposes limitations on hardware...

Deep Learning (DL) based Side-Channel Analysis (SCA) has been extremely popular recently. DL-based SCA can easily break implementations protected by masking countermeasures. DL-based SCA has also been highly successful against implementations protected by various trace desynchronization-based countermeasures like random delay, clock jitter, and shuffling. Over the years, many DL models have been explored to perform SCA. Recently, Transformer Network (TN) based model has also been introduced...

A secret-shared shuffle (SSS) protocol permutes a secret-shared vector using a random secret permutation. It has found numerous applications, however, it is also an expensive operation and often a performance bottleneck. Chase et al. (Asiacrypt'20) recently proposed a highly efficient semi-honest two-party SSS protocol known as the CGP protocol. It utilizes purposely designed pseudorandom correlations that facilitate a communication-efficient online shuffle phase. That said, semi-honest...

As NIST is putting the final touches on the standardization of PQC (Post Quantum Cryptography) public key algorithms, it is a racing certainty that peskier cryptographic attacks undeterred by those new PQC algorithms will surface. Such a trend in turn will prompt more follow-up studies of attacks and countermeasures. As things stand, from the attackers’ perspective, one viable form of attack that can be implemented thereupon is the so-called “side-channel attack”. Two best-known...

Recent works have revisited blockcipher structures to achieve MPC- and ZKP-friendly designs. In particular, Albrecht et al. (EUROCRYPT 2015) first pioneered using a novel structure SP networks with partial non-linear layers (P-SPNs) and then (ESORICS 2019) repopularized using multi-line generalized Feistel networks (GFNs). In this paper, we persist in exploring symmetric cryptographic constructions that are conducive to the applications such as MPC. In order to study the minimization of...

As more privacy-preserving solutions leverage trusted execution environments (TEEs) like Intel SGX, it becomes pertinent that these solutions can by design thwart TEE side-channel attacks that research has brought to light. In particular, such solutions need to be fully oblivious to circumvent leaking private information through memory or timing side channels. In this work, we present fast fully oblivious algorithms for shuffling and sorting data. Oblivious shuffling and sorting are two...

We show that the key agreement scheme [IEEE Internet Things J., 9(12), 2022, 9918--9933] is flawed. In order to authenticate each other, all participants use message authentication code (MAC) to generate tags for exchanged data. But MAC is a cryptographic technique which requires that the sender and receiver share a symmetric key. The scheme tries to establish a new shared key by using an old shared key, which results in a vicious circle. To the best of our knowledge, it is the first time...

The lookup table-based masking countermeasure is prevalent in real-world applications due to its potent resistance against side-channel attacks and low computational cost. The ASCADv2 dataset, for instance, ranks among the most secure publicly available datasets today due to two layers of countermeasures: lookup table-based affine masking and shuffling. Current attack approaches rely on strong assumptions. In addition to requiring access to the source code, an adversary would also need prior...

Trick-taking games are traditional card games played all over the world. There are many such games, and most of them can be played online through dedicated applications, either for fun or for betting money. However, these games have an intrinsic drawback: each player plays its cards according to several secret constraints (unknown to the other players), and if a player does not respect these constraints, the other players will not realize it until much later in the game. In 2019, X....

The password-based authentication system is a widely used authentication mechanism. However, it has several issues, including the domino effect, guessing attacks, dictionary attacks, rainbow table attacks, and database leakage issues. To address these issues, we present a client-side password hashing method called PassPro. PassPro uses two secrets and a domain word to shuffle the strings. The shuffled strings are converted into hash values and sent to the identity manager for authentication...

Shuffling is a well-known countermeasure against side-channel analysis. It typically uses the Fisher-Yates (FY) algorithm to generate a random permutation which is then utilized as the loop iterator to index the processing of the variables inside the loop. The processing order is scrambled as a result, making side-channel analysis more difficult. Recently, a side-channel attack on a masked and shuffled implementation of Saber requiring 61,680 power traces to extract the secret key was...

In this work, we introduce the random fault model - a more advanced fault model inspired by the random probing model, where the adversary can fault all values in the algorithm but the probability for each fault to occur is limited. The new adversary model is used to evaluate the security of side-channel and fault countermeasures such as Boolean masking, error detection techniques, error correction techniques, multiplicative tags, and shuffling methods. The results of the security analysis...

The emergence of distributed digital currencies has raised the need for a reliable consensus mechanism. In proof-of-stake cryptocur- rencies, the participants periodically choose a closed set of validators, who can vote and append transactions to the blockchain. Each valida- tor can become a leader with the probability proportional to its stake. Keeping the leader private yet unique until it publishes a new block can significantly reduce the attack vector of an adversary and improve the...

This work presents RPM, a scalable anonymous communication protocol suite using secure multiparty computation (MPC) with the offline-online model. We generate random, unknown permutation matrices in a secret-shared fashion and achieve improved (online) performance and the lightest communication and computation overhead for the clients compared to the state of art robust anonymous communication protocols. Using square-lattice shuffling, we make our protocol scale well as the number of...

Histograms have a large variety of useful applications in data analysis, e.g., tracking the spread of diseases and analyzing public health issues. However, most data analysis techniques used in practice operate over plaintext data, putting the privacy of users’ data at risk. We consider the problem of allowing an untrusted aggregator to privately compute a histogram over multiple users’ private inputs (e.g., number of contacts at a place) without learning anything other than the final...

Physically unclonable functions (PUFs) are gaining attention as a promising cryptographic technique, with the main applications including challenge-response authentication and key generation (key storage). When a PUF is applied to these applications, min-entropy estimation is essential. Min-entropy is a measure of the lower bound of the unpredictability of PUF responses. Using the test suite of the National Institute of Standards and Technology (NIST) specification (SP) 800-90B is currently...

A shuffle argument is a cryptographic primitive for proving correct behaviour of mix-networks without leaking any private information. Several recent constructions of non-interactive shuffle arguments avoid the random oracle model but require the public key to be trusted. We augment the most efficient argument by Fauzi et al. [Asiacrypt 2017] with a distributed key generation protocol that assures soundness of the argument if at least one party in the protocol is honest and additionally...

The lightweight encryption design DoT was published by Patil et al in 2019. It is based on SPN (substitution permutation network) structure. Its block and key size are 64-bit and 128-bit respectively. In this paper, we analyse the security of DoT against differential attack and present a series of differential distinguishers for full-round DOT. Our analysis proves that DoT we can be distinguished from a random permutation with probability equal to 2^62. Diffusion layer of DoT is...

Card-based cryptography provides simple and practicable protocols for performing secure multi-party computation (MPC) with just a deck of cards. For the sake of simplicity, this is often done using cards with only two symbols, e.g., clubs and hearts. Within this paper, we target the setting where all cards carry distinct symbols, catering for use-cases with commonly available standard decks and a weaker indistinguishability assumption. As of yet, the literature provides for only three...

Anonymity is a primary ingredient for our digital life. Several tools have been designed to address it such as, for authentication, blind signatures, group signatures or anonymous credentials and, for confidentiality, randomizable encryption or mix-nets. When it comes to complex electronic voting schemes, random shuffling of ciphertexts with mix-nets is the only known tool. However, it requires huge and complex zero-knowledge proofs to guarantee the actual permutation of the initial...

Second-order analyses have shown a great interest to defeat first level of masking protections. Their practical realization remains tedious in a lot of cases. This is partly due to the difficulties of achieving a fine alignment of two areas that are combined together afterward. Classical protections makes therefore use of random jitter or shuffling to make the alignment difficult or even impossible. This paper extends Scatter attack to high-order analyses. Processing the jointdistribution of...

Side-channel countermeasure designers often face severe performance overheads when trying to protect a device. Widely applied countermeasures such as masking and shuffling entail generating a large amount of random numbers, which can result in a computational bottleneck. To mitigate the randomness cost, this work evaluates low-randomness versions of both masking and shuffling, namely Recycled Randomness Masking (RRM) and Reduced Randomness Shuffling (RRS). These countermeasures employ memory...

One important open question in side-channel analysis is to find out whether all the leakage samples in an implementation can be exploited by an adversary, as suggested by masking security proofs. For attacks exploiting a divide-and-conquer strategy, the answer is negative: only the leakages corresponding to the first/last rounds of a block cipher can be exploited. Soft Analytical Side-Channel Attacks (SASCA) have been introduced as a powerful solution to mitigate this limitation. They...

Oblivious RAM protocols (ORAMs) allow a client to access data from an untrusted storage device without revealing to that device any information about their access pattern. Typically this is accomplished through random shuffling of the data such that the storage device cannot determine where individual blocks are located, resulting in a highly randomized access pattern. Storage devices however, are typically optimized for \emph{sequential} access. A large number of random disk seeks during...

We present PanORAMa, the first Oblivious RAM construction that achieves communication overhead $O(\log N \cdot \log \log N)$ for a database of $N$ blocks and for any block size $B=\Omega(\log N)$ while requiring client memory of only a constant number of memory blocks. Our scheme can be instantiated in the ``balls and bins" model in which Goldreich and Ostrovsky [JACM 96] showed an $\Omega(\log N)$ lower bound for ORAM communication. Our construction follows the hierarchical approach to...

We present a generic framework for runtime code polymorphism, applicable to a broad range of computing platforms including embedded systems with low computing resources (e.g. microcontrollers with few kilo-bytes of memory). Code polymorphism is defined as the ability to change the observable behaviour of a software component without changing its functional properties. In this paper we present the implementation of code polymorphism with runtime code generation, which offers many code...

Card-based cryptography, as first proposed by den Boer (EUROCRYPT 1989), enables secure multiparty computation using only a deck of playing cards. Many protocols as of yet come with an “honest-but-curious” disclaimer. However, modern cryptography aims to provide security also in the presence of active attackers that deviate from the protocol description. In the few places where authors argue for the active security of their protocols, this is done ad-hoc and restricted to the concrete...

We describe an efficient and secure decryption protocol to the Norwegian Internet voting project. We first adapt Groth’s shuffle-decryption from 2010 to our purpose, and we prove all security properties in the random oracle model. We then describe the complete decryption algorithm, and prove that it maintains the security of the rest of the protocol.

We propose a new random oracle-less NIZK shuffle argument. It has a simple structure, where the first verification equation ascertains that the prover has committed to a permutation matrix, the second verification equation ascertains that the same permutation was used to permute the ciphertexts, and the third verification equation ascertains that input ciphertexts were ``correctly'' formed. The new argument has $3.5$ times more efficient verification than the up-to-now most efficient shuffle...

One way to guarantee security against malicious voting servers is to use NIZK shuffle arguments. Up to now, only two NIZK shuffle arguments in the CRS model have been proposed. Both arguments are relatively inefficient compared to known random oracle based arguments. We propose a new, more efficient, shuffle argument in the CRS model. Importantly, its online prover's computational complexity is dominated by only two $(n + 1)$-wide multi-exponentiations, where $n$ is the number of...

Side-channel attacks have been a real threat against many critical embedded systems that rely on cryptographic algorithms as their security engine. A commonly used algorithmic countermeasure, random masking, incurs large execution delay and resource overhead. The other countermeasure, operation shuffling or permutation, can mitigate side-channel leakage effectively with minimal overhead. In this paper, we target utilizing the independence among operations in cryptographic algorithms and...

In secure multi-party shuffling, multiple parties, each holding an input, want to agree on a random permutation of their inputs while keeping the permutation secret. This problem is important as a primitive in many privacy-preserving applications such as anonymous communication, location-based services, and electronic voting. Known techniques for solving this problem suffer from poor scalability, load-balancing issues, trusted party assumptions, and/or weak security guarantees. In this...

Discrete Gaussian sampling is an integral part of many lattice based cryptosystems such as public-key encryption, digital signature schemes and homomorphic encryption schemes. In this paper we propose a compact and fast Knuth-Yao sampler for sampling from a narrow discrete Gaussian distribution with very high precision. The designed samplers have a maximum statistical distance of $2^{-90}$ to a true discrete Gaussian distribution. In this paper we investigate various optimization techniques...

Combining countermeasures is usually assumed to be the best way to protect embedded devices against side-channel attacks. These combinations are at least expected to increase the number of measurements of successful attacks to some reasonable extent, and at best to guarantee a bounded time complexity independent of the number of measurements. This latter guarantee, only possible in the context of leakage-resilient constructions, was only reached either for stateful (pseudo-random generator)...

We propose a simple and efficient sorting algorithm for secure multi-party computation (MPC). The algorithm is designed to be efficient when the number of parties and the size of the underlying field are small. For a constant number of parties and a field with a constant size, the algorithm has $O(\gm\log\gm)$ communication complexity, which is asymptotically the same as the best previous algorithm but achieves $O(1)$ round complexity, where $\gm$ is the number of items. The algorithm is...

We describe a security-preserving construction of a random permutation of domain size~$N$ from a random function, the construction tolerating adversaries asking all~$N$ plaintexts, yet employing just $\Theta(\lg N)$ calls, on average, to the one-bit-output random function. The approach is based on card shuffling. The basic idea is to use the \textit{sometimes-recurse} transformation: lightly shuffle the deck (with some other shuffle), cut the deck, and then recursively shuffle one of the two...

Random extractors are proven to be important building blocks in constructing leakage resilient cryptographic primitives. Nevertheless, recent efforts showed that they are likely more leaky than other elementary components (e.g. block ciphers) in unprotected implementations of these primitives, in the context of side-channel attacks. In this context, from the adversary's point of view, the extractors themselves could become the point of interest. This paper extends the problem of how leakage...

A theoretical analysis of the RC4 Key Scheduling Algorithm (KSA) is presented in this paper, where the nonlinear operation is swapping among the permutation bytes. Explicit formulae are provided for the probabilities with which the permutation bytes at any stage of the KSA are biased to the secret key. Theoretical proofs of these formulae have been left open since Roos' work (1995). Next, a generalization of the RC4 KSA is analyzed corresponding to a class of update functions of the indices...

We provide algorithms guaranteeing high levels of privacy by computing uniformly random solutions to stable marriages problems. We also provide efficient algorithms extracting a non-uniformly random solution and guaranteeing t-privacy for any threshold t. The most private solution is expensive and is based on a distributed/shared CSP model of the problem. The most efficient version is based on running the Gale-Shapley algorithm after shuffling the men (or women) in the shared secret...

Mix-nets can be used to shuffle vectors of shared secrets. This operation can be an important building block for solving combinatorial problems where constraints depend on secrets of different participants. A main contribution of this paper is to show how participants in the mix-net can provide Zero-Knowledge proofs to convince each other that they do not tamper with the shuffled secrets, and that inverse permutations are correctly applied at unshuffling. The approach is related to the...

Most guidelines for implementation of the RC4 stream cipher recommend discarding the first 256 bytes of its output. This recommendation is based on the empirical fact that known attacks can either cryptanalyze RC4 starting at any point, or become harmless after these initial bytes are dumped. The motivation for this paper is to find a conservative estimate for the number of bytes that should be discarded in order to be safe. To this end we propose an idealized model of RC4 and analyze it...